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How come your choice words are not getting automatically 'stared out' ??

This curve is the graphical representation of the square root function:

Let A be the point of coordinates (2,0). Find the coordinates of the point B of the curve that is the closest to A.

The distance between two points A(xA,yA) and B(xB,yB​) is given by the formula:

\(\begin{array}{rcl} z &=& \sqrt{ (x_B-x_A)^2 + (y_B-y_A)^2} \qquad x_B =x, \quad y_B=\sqrt{x}, \quad x_A =2, \quad y_A = 0 \\ z &=& \sqrt{ (x-2)^2 + (\sqrt{x}-0)^2} \\ z &=& \sqrt{ (x-2)^2 + \sqrt{x}^2} \\ z &=& \sqrt{ (x-2)^2 + x } \\ z &=& \sqrt{ x^2-4x+4+x } \\ \mathbf{z} & \mathbf{=} & \mathbf{ \sqrt{ x^2-3x+4 } }\\ \end{array}\\ \begin{array}{rcl} \text{The mimimum dictance is, when } z' = 0 \\ \text{We can also use } z^2 = u \text{ and set } u' = 0\\ \end{array}\\ \begin{array}{rcl} u = z^2 &=& x^2-3x+4\\ u' &=& 2x-3 = 0\\ 2x-3&=& 0\\ 2x&=& 3\\ \mathbf{x}&\mathbf{=}& \mathbf{\frac32}\\ \mathbf{y}&\mathbf{=}& \mathbf{\sqrt{\frac32} } \end{array}\\\)

Point  \(B (\frac32, \sqrt{\frac32} )\)  is the closest to A

   \(\text{The nearest distance is: }\\ \begin{array}{rcl} z &=& \sqrt{ x^2-4x+4+x } \\ &=& \sqrt{ (\frac32)^2-3\cdot \frac32+4 } \\ &=& \sqrt{1.75}\\ &=& 1.32287565553 \end{array}\\\)

I have a question Your Magesty.

**Also, no religious posts are acceptable.**

Does this pertain only to proselytizing or to any religious reference?

Christmas is near and I usually wish a few worthy souls a “Merry Fucking Christmas,” or a “Happy Fucking Hanukkah, “or Happy whatever floats their fucking boat, along with a “Happy Fucking New Year.”  

I just wanted to know if that was acceptable.  

good and you

hi rosala.... :)

I have never smelt dehydrated vomit, but I did burst out laughing when I read it. :D

Mmm, cat food is often fish and they love it but it does stink, I will give you that. 

Cigars stink too.  Mmm it is close....

Yes, Lancelot can be asocial but he isnot antisocial.  He should return.  

You know he is rather tricky getting a human to pay his travel expenses. :)

That is one smart chimp !

All those dogs, they are not your pets since you are a dog too.  And cats and other animals too.  WOW, you must never want for company :)

Thank you so much! I don't know if I could have done all that on my own.

nick bought 18 bouquets of flowers. Each bouquet was 14.75. Of the bouquets, 1/3 of them were roses. How much did Nick spend on the roses

18 X 14.75=$265.50 cost of all 18 bouquets

18 X 1/3=6 bouquets that were roses.

6 X 14.75=$88.50 amount Nick spent on roses.

With an equation that looks like this:  -4(x + 8)  =  16

If you distribute the -4 on the left side, you get this:  -4x - 32  =  16.

You distribute the -4 on the left side, but, at this time, YOU DO NOTHING TO THE RIGHT SIDE.

I would choose 'D'.

Compute the definite integral:
integral_0^1 log(x) dx
log(x) has a discontinuity at x = 0, which produces an improper bound:
  =   integral_0^1 log(x) dx
For the integrand log(x), integrate by parts,  integral f dg = f g- integral g df, where
f = log(x),     dg =   dx,
df = 1/x  dx,     g = x:
  =  lim_(a->0^+) x log(x)|_a^1- integral_0^1 1 dx
Evaluate the antiderivative at the limits and subtract.
lim_(a->0^+) x log(x)|_a^1 = 1 log(1)-(lim_(a->0^+) a log(a)) = 0-(lim_(a->0^+) a log(a)):
  =  -(lim_(a->0^+) a log(a))- integral_0^1 1 dx
lim_(a->0^+) a log(a) = 0:
  =  - integral_0^1 1 dx
Apply the fundamental theorem of calculus.
The antiderivative of 1 is x:
  =  lim_(a->0^+) (-x)|_a^1
Evaluate the antiderivative at the limits and subtract.
lim_(a->0^+) (-x)|_a^1 = (-1)-(lim_(a->0^+) -a) = -(lim_(a->0^+) -a)-1:
  =  -(lim_(a->0^+) -a)-1
lim_(a->0^+) -a = 0:
Answer: |  = -1

there is no fixed number for pi.

to solve qquestions we can use " 3.14 or 22/7 "

in other words

pi = yummy,fatty,tasty,delicious,i havent ever had it.

thats it, appreciate which suits you!

Are you still here?

Aw, Thanks :D. What are you doing still up? :)

Good, a pretty face should have a pretty smile :))

just made my day! Thanks! I now have a smile on my face! :]

It is ok Hayley. You are well like here :)

When you go to a new place it always takes a while to work out what is the best way to do things there. :)

Two of the reasons that you are so well liked is that you are always very polite and bubbly :)

See how we are both chatting on this thread.  Other people can join in if they want. See this has become a chat thread and since it was never a proper maths question that is really good.

Please stop.

If you invest $200 at 7.3% annual rate of return, and leave it be, what will be the value of your investment in 8 years

FV=200(1+.073)^8

FV=200 X 1.75710

FV=$351.42

Okay! and i wanted to say thank you for helping me with a lot of stuff! A lot of people don't have patience with me. I'm not your average student.. I don't get things on one try. I have to do it MULTIPLE times.. So, thank you for being patient with me, I hope that you'll still be helping me in the future. Even when i ask a question today :D. I dont meant to ask questions that don't relate to math, but I need assistance, and you are one of the few people that help me so much!

The cigars smell worse too.

 . . . Cigars vs  Catfood . . .

I don’t know. Some canned cat-foods smell like carrion. My pet vultures become very excited when I open a can. I feed it to them when road kíll isn’t available. The cats won’t eat it and the dogs usually just want to roll in it.  The cat-food kibble, on the other hand, smells like dehydrated vomit –it’s more like a warm meal.   

There is a Lucky Dog brand in the states, described as: Whole food meals cooked by hand: frozen and shipped in 1 lb packages from South Carolina” At $12 a pound, dogs should like it.

I don’t buy it. I cook for my mutts, adding supplements to optimize the nutrition. On this week’s menu is turkey-bone soup – it’s one of their favorites. One is allergic to poultry, so she has her own personal ham.  The cats share in the turkey soup too. 

Some of the cats are grateful. One in particular always brings me gifts –such as mice, squirrels, rats, and the occasional rabbit.    While I appreciate the thought, I just can’t eat that much and I finally told him I didn’t want any more gifts from him.  Later, I read his personal log, he lamented that he had to return the bottle of 1906 Amontillado he bought me for Christmas. In my personal log I wrote, “Me and my big mouth!” 

After dinner, the dogs like a drink --a motif of sorts. There is Schnapps for the Schnauzer. For the English sheep dog, it’s Lindisfarne Mead; Aquavit for the Great Dane; then it is Sake for Shih-Tzu; Tequila for the Chihuahua, and Cognac for the French poodle. Next, the most consumed alcohol beverage in the world: Baijiu, this is for the Pekinese, and it rounds out with Vodka for the Siberian husky, dark ale and beer for the Labrador and Rottweiler.  The rest are teetotalers.  None of my dogs are cheap drunks –that’s for sure.

 As you might have noticed, it is a dog’s life around here. :/

As for Lancelot, he usually travels by crate, anyway. He says it’s cheap and he can choose his company.  If anyone ever sent him off that way, you can bet he was tricking someone into paying his fair.  That chimp is very sneaky!

For Lancelot’s latest extended absences, I’ll have to send a telegram to him to find out why. He has always been a little asocial with humans, but I’ve never seen him antisocial.  I will find out though.  . . .

Look how many active members are on the forum :)

Hi Rosala,

Hi Nauseated.

Hi Hayley1

Hi to everyone else to :))

hi gabbi!how're you doing?

I would think C